72 De pondere casei pisano¹⁴⁵

Pondus casei, quod pensat centenaria 22, hoc est libras 2200, venditur pro libris 24; queritur quantum valent libre 86. Describe questionem et multiplica 24 per 86; erunt 2064, que divide per regulam de 2200, hoc est per \({1~~\phantom{1}0~~\phantom{1}0~~\phantom{1}0 \over 2~~10~~10~~11}\); tamen fac \({1 \over 20}\) de \({1~~\phantom{1}0 \over 2~~10}\) ut habeamus ipsam in virgula sic: \({\phantom{1}1~~\phantom{1}0~~\phantom{1}0 \over 10~~11~~20}\). 73 Et cum non habeamus 12 in hac divisione, multiplicetur

③ £ l. 24 2200 pensa per 7 est ② ②     \({\phantom{1}8~~\phantom{1}1~~\phantom{1}9~~18 \over 10~~11~~12~~20}\) 86

¹⁴⁶ 2064 per 12 et iungatur 12 sub virga divisionis, quia cum adduntur¹⁴⁷ 12 sub virga divisionis, tunc multiplicatur divisor per 12; quare multiplicandus est similiter dividendus¹⁴⁸ numerus per 12, ut proportio¹⁴⁹ dividendi [F:37v] ad divisorem fiat eadem que erat prius; exibunt¹⁵⁰ \({\phantom{1}8~~\phantom{1}1~~\phantom{1}9~~18 \over 10~~11~~12~~20}\)¹⁵¹.

74 De eodem¹⁵²

Item pondus casei, hoc est libre 2200, valent libras \({11 \over 20}\) 18; quantum valent [R:62v] ergo libre 100? Hanc autem questionem non indiget scribere, ideo quia 100 est \({1 \over 22}\) de 2200: quare non indiget aliud, nisi ut dividatur dictum pretium ponderis per regulam de 22, hoc est in \({1~~\phantom{1}0 \over 2~~11}\), quod sic facere potes: 75 accipe \({1 \over 2}\) de libris 18 et¹⁵³ soldis 11; erunt libre 9 et soldi \({1 \over 2}\) 5¹⁵⁴, de quibus fac soldos: erunt soldi [A:24v] 185 et denarii 6, quos divide per 11; exibunt soldi¹⁵⁵ 16 et remanent soldi¹⁵⁶ 9 et denarii 6 ad dividendum in 11¹⁵⁷, de quibus fac denarios: erunt denarii 114, quos divide per 11; exibunt denarii \({4 \over 11}\) 10, et tot valet centenarium casei, videlicet soldos¹⁵⁸ 16 et¹⁵⁹ denarios \({4 \over 11}\) 10.

76 De eodem pro libris¹⁶⁰

Item pondus valet libras \({13 \over 20}\) 19; quantum valent ergo libre 783? Describe questionem, et multiplica 19 per 20 et adde 13; erunt soldi 393, quos multiplica per 783: erunt 307719, que

① £ l. 393   \({13 \over 20}\) 19 2200 ① ⑥ \({\phantom{1}4~~\phantom{1}1~~\phantom{1}5~~10~~19 \over 10~~10~~11~~12~~20}\) 6 783

¹⁶¹ dividere debes per regulam de 2200 et per 20 que sunt sub virgula, hoc est per \({1~~\phantom{1}0~~\phantom{1}0~~\phantom{1}0~~\phantom{1}0 \over 2~~10~~10~~11~~20}\). Sed ut habeamus 12 in virgula, multiplica 307719 per 6; que 6 coaptabis¹⁶² cum 2 que sunt in virgula, et habebis 12 in ipsa virgula sic: \({\phantom{1}1~~\phantom{1}0~~\phantom{1}0~~\phantom{1}0~~\phantom{1}0 \over 10~~10~~11~~12~~20}\): exibunt libre \({\phantom{1}4~~\phantom{1}1~~\phantom{1}5~~10~~19 \over 10~~10~~11~~12~~20}\) 6.